Relativizing complexity classes with sparse oracles
Journal of the ACM (JACM)
On hiding information form an oracle
Journal of Computer and System Sciences
Robust machines accept easy sets
Theoretical Computer Science
Theoretical Computer Science
Strong and robustly strong polynomial-time reducibilities to sparse sets
Theoretical Computer Science
Almost-everywhere complexity hierarchies for nondeterministic time
Theoretical Computer Science
New Collapse Consequences of NP Having Small Circuits
ICALP '95 Proceedings of the 22nd International Colloquium on Automata, Languages and Programming
Some connections between nonuniform and uniform complexity classes
STOC '80 Proceedings of the twelfth annual ACM symposium on Theory of computing
Robust Reductions
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We continue the study of robust reductions initiated by Gavaldà and Balcázar. In particular, a 1991 paper of Gavaldà and Balcázar [6] claimed an optimal separation between the power of robust and nondeterministic strong reductions. Unfortunately, their proof is invalid. We re-establish their theorem. Generalizing robust reductions, we note that robustly strong reductions are built from two restrictions, robust underproductivity and robust overproductivity, both of which have been separately studied before in other contexts. By systematically analyzing the power of these reductions, we explore the extent to which each restriction weakens the power of reductions.We show that one of these reductions yields a new, strong form of the Karp-Lipton Theorem.